Final answer:
The equation that represents the ounces of ketchup in the bottle after x seconds is y = 2 + (1/2)x. This equation explains that the initial amount of ketchup in the bottle is 2 ounces, and for each second that passes, an additional 1/2 ounce is poured into the bottle.
Step-by-step explanation:
A mathematical equation is a statement asserting that two mathematical expressions are equal. It consists of variables, constants, and mathematical operations. For example y = mx +b.
The equation that represents the ounces of ketchup in the bottle after x seconds is y = 2 + (1/2)x.
This equation shows that the initial amount of ketchup in the bottle is 2 ounces, and for each second that passes, an additional 1/2 ounce is poured into the bottle.
The variable x represents the number of seconds that have passed, and the variable y represents the total number of ounces of ketchup in the bottle.